Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems - Brossura

Libro 80 di 155: SpringerBriefs in Mathematics

Li, Tatsien; Wang, Ke; Gu, Qilong

 
9789811028410: Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems

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This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications.  This kind of controllability is useful in practice as it does not require any precisely given final state to be attained at a suitable time t=T by means of boundary controls, instead it requires the state to exactly fit any given demand (profile) on one or more nodes after a suitable time t=T by means of boundary controls. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems"(2010), and we establish a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.

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9789811028434: Exact Boundary Controllability of Nodal Profile for Quasilinear Hyperbolic Systems

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ISBN 10:  9811028435 ISBN 13:  9789811028434
Casa editrice: Springer, 2016
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